Find an explicit formula for the sequence given by the recursive definition v_n = 3v_n-1, v_1 = 45

=====================================================

Work Shown:

is the first term

means we multiply the previous term () by 3 to get the next term (). Therefore, r = 3 is the common ratio. This sequence is geometric.

Let's find the explicit formula

--------

For each sequence mentioned, the starting term is at n = 1.

So to check our work, we can plug n = 1 into the equation we just found to get...

The other terms are generated in a similar fashion.

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: